Factoring
The factors of k2 + 6k - 27.
What is (k - 3)(k + 9)?
The standard form polynomial function with zeros 4, 0, 1.
What is f(x) = x3 - 5x2 + 4x?
The zeros of the function f(x) = x3 + 7x2 + 10x.
What are 0, -2, -5?
The all zeros of the following polynomial function
f(x) = x3 - 5x2 -3x + 15.
What are 5, √3, and -√3?
If f(x) = 12x2 -6x - 2 and g(x) = 2x2 + x - 4
then the sum of f(x) and g(x) gives a result in the form ax2 +bx +c. What is the value of a + 2b -2c?
What is 16?
The factors of 2b3 + 36b2 +160b.
What is 2b(b + 8)(b + 10)?
The standard form polynomial function with zeros -2, 2, 3.
What is f(x) = x3 - 3x2 - 4x + 12?
Name all the zeros (output is zero)
of the function f(x) = 15x3 - 10x2 + 15x -10.
What are 2/3, i and -i?
Given (x + 4)(x2 - 6x + 34) = 0, name all solutions (real and complex).
What are -4, 3+5¡, 3-5¡?
If (ax - 8)(x2 + bx + 2) = 4x3 + 8x2 -24x - 16, determine the value of a/b.
What is 1?
Completely factor: 20x4 - 40x3 + 16x2 - 32x.
What is 4x(5x2 + 4)(x - 2)?
The standard form polynomial function with zeros 1, 2, 4i.
What is f(x) = x4 -3x3 + 18x2 - 48x + 32?
Name all the zeros (output is zero)
of the function f(x) = x4 - 40x2 + 144.
What is are -6, -2, 2, 6?
Name all solutions (real and complex) of x3 = 216.
What are 6, -3+3¡√3, -3-3¡√3.
The product (x + 10)(2x2 - x - 3) results in a polynomial in the form ax3 + bx2 + cx + d, where a, b, c, and d are integers.
Determine the value of a + b + c + d.
What is -20?
The factors of 250x4 + 432x.
What is 2x(5x + 6)(25x2 - 30x + 36)?
The standard form polynomial function with zeros -2 and √10.
What is f(x) = x3 + 2x2 - 10x - 20?
The zeros of the function f(x) = 2x3 - x2 + 6x -3.
What are 1/2, -i√3, i√3?
Find all the zeros (real and complex) of -x3 - x2 - 7x - 7 = 0
What is {¡√7, -¡√7, -1}?
Given (4x - 7)(3x2 + 4x + 5), what is the coefficient on the x term?
What is -48?
P(x) is partially factored below.
Completely factor P(x) = (x2 + 6x + 9)(125x3 - 8).
What is P(x) = (x + 3)2(5x - 2)(25x2 + 10x +4)?
The standard form polynomial function with
zeros -3, 4 - 2i.
What is f(x) = x3 - 5x2 - 4x + 60?
Name all solutions (real and complex) of
125x3 - 343 = 0.
What are 7/5, (35+35i√3)/50, (35-35i√3)/50?
Find all the solutions (real and complex) of
x4 = 5x2 + 36.
What are 3, -3, 2¡, -2¡?
P(x) is written in factored form below. Write P(x) in standard form.
P(x) = (x2 - 6x + 9)(x2 + 5x - 6).
What is P(x) = x4 - x3 -27x2 + 81x - 54?